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Finding the Fourth Proportional to 27,857.40, 41,799.74 and 13,818.76

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Solution

The fourth proportional to 27,857.40, 41,799.74 and 13,818.76 is: 20,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,857.40 : 41,799.74 = 13,818.76 : x
  2. Step 2: Convert to fraction form
    27,857.40/41,799.74 = 13,818.76/x
  3. Step 3: Cross multiply
    27,857.40x = 41,799.74 × 13,818.76
  4. Step 4: Simplify right side
    27,857.40x = 577,620,575.12
  5. Step 5: Solve for x
    x = 577,620,575.12/27,857.40
  6. Step 6: Final answer
    x = 20,734.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.